5 p over 7 minus 18 equals -43

Assume that the cost to produce an item is a linear function and all items produced are sold. A lumber yard has fixed costs of $

PilotLPTM [1.2K]

Answer: at least, 2931 board feet

Step-by-step explanation:

Let x represent the number of board-feet of lumber yards that is produced and sold in a day

The lumber yard has fixed costs of $3810.30 per day and variable costs of $0.91 per board-foot produced. It means that the cost of producing x board-feet of lumber yards is

0.91x + 3810.3

Lumber sells for $2.21 per board-foot. It meas that the revenue from selling x board feet of lumber yard is 2.21x.

Profit = Revenue - total cost

In order to make profit, Revenue must be greater than total cost. Therefore,

2.21x ≥ 0.91x + 3810.3

2.21x - 0.91x ≥ 3810.3

1.3x ≥ 3810.3

x ≥ 3810.3/1.3

x ≥ 2931

The number of board-feet of lumber yard that must be sold to make profit is at least 2931

4 0

4 years ago

Hey y'all what is 5/7×-14=-22

victus00 [196]

Try this answer .................

7 0

4 years ago

Read 2 more answers

Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 233 baseball cards

ICE Princess25 [194]

Answer:

About 17 weeks

Step-by-step explanation:

Given

Ryan:

$Initial = 150$

$Additional = 10$ (weekly)

Sarah:

$Initial = 233$

$Additional = 5$ (weekly)

Required

Determine the number of weeks they have the same cards

Represent the number of weeks with w:

For Both individuals, number of card at any given week is:

$Initial + Additional * w$

So,

For Ryan, the expression is:

$150 + 10 * w$

$150 + 10w$

For Sarah, the expression is:

$233 + 5 * w$

$233 + 5 w$

To determine the number of weeks, we have to equate both equations:

$150 + 10w= 233 + 5 w$

Collect Like Terms

$10w - 5w = 233 - 150$

$5w = 83$

Solve for w

$w = 83/5$

$w = 16.6$

16.6 implies about 17 weeks, because 16.6 approximates to 17

Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks

5 0

3 years ago

Use cubic regression to find a function that fits the following points.

olasank [31]

Answer:

The cubic regression that fits the points $(x,y) =(-2,-16)$ , $(x,y) = (1,5)$ , $(x,y) = (3, 59)$ and $(x,y) =(6,440)$ is $y =2\cdot x^{3}+x+2$ .

Step-by-step explanation:

A cubic polynomial is a polynomial that has the following form:

$y = a\cdot x^{3}+b\cdot x^{2}+c\cdot x + d$ (1)

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ , $d$ - Coefficients, dimensionless.

We construct the following system of equations to determine the coefficients of the cubic regression:

$(x,y) =(-2,-16)$

$-8\cdot a +4\cdot b -2\cdot c + d = -16$ (1)

$(x,y) = (1,5)$

$a+b+c+d= 5$ (2)

$(x,y) = (3, 59)$

$27\cdot a + 9\cdot b + 3\cdot c + d = 59$ (3)

$(x,y) =(6,440)$

$216\cdot a + 36\cdot b + 6\cdot c + d = 440$ (4)

The solution of the system of linear equations is:

$a = 2$ , $b = 0$ , $c = 1$ , $d = 2$

The cubic regression that fits the points $(x,y) =(-2,-16)$ , $(x,y) = (1,5)$ , $(x,y) = (3, 59)$ and $(x,y) =(6,440)$ is $y =2\cdot x^{3}+x+2$ .

7 0

3 years ago

(02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.

EleoNora [17]

Answer:

If 1 pint is equal to 2 cups, then 5 pints would equal _5_ cups.

Step-by-step explanation:

Let's use a ratio to solve:

pints : cups

1 : 2

2 : 4

3 : 6

4 : 8

5 : 10

There would be 10 cups in 5 pints.

3 0

3 years ago

5 p over 7 minus 18 equals -43​

5 p over 7 minus 18 equals -43